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Finding the Fourth Proportional to 463,785.20, 696,522.60 and 405,724.40

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Solution

The fourth proportional to 463,785.20, 696,522.60 and 405,724.40 is: 609,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,785.20 : 696,522.60 = 405,724.40 : x
  2. Step 2: Convert to fraction form
    463,785.20/696,522.60 = 405,724.40/x
  3. Step 3: Cross multiply
    463,785.20x = 696,522.60 × 405,724.40
  4. Step 4: Simplify right side
    463,785.20x = 282,596,213,971.44
  5. Step 5: Solve for x
    x = 282,596,213,971.44/463,785.20
  6. Step 6: Final answer
    x = 609,325.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.